A057210 - OEIS

A057210

Number of fullerenes with 2n vertices (or carbon atoms), counting enantiomorphic pairs as distinct.

1, 0, 1, 1, 3, 3, 10, 9, 23, 30, 66, 80, 162, 209, 374, 507, 835, 1113, 1778, 2344, 3532, 4670, 6796, 8825, 12501, 16091, 22142, 28232, 38016, 47868, 63416, 79023, 102684, 126973, 162793, 199128, 252082, 306061, 382627, 461020

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OFFSET

10,5

REFERENCES

P. W. Fowler and D. E. Manolopoulos, An Atlas of Fullerenes, Cambridge Univ. Press, 1995, see p. 32.

LINKS

Gunnar Brinkmann, Table of n, a(n) for n = 10..100 (Received Aug 18, 2006)

Philip Engel and Peter Smillie The number of non-negative curvature triangulations of S^2, arXiv:1702.02614 [math.GT], 2017.

Philip Engel, Jan Goedgebeur, and Peter Smillie, Exact enumeration of fullerenes, arXiv:2304.01655 [math.GT], 2023.

FORMULA

a(n) = (809/1306069401600)*sigma_9(n) + O(n^8) where sigma_9(n) is the ninth divisor power sum, A013957. - Philip Engel, Nov 29 2017

CROSSREFS

Cf. A007894, A013957.

Sequence in context: A362469 A286570 A134704 * A330632 A278832 A168376

Adjacent sequences: A057207 A057208 A057209 * A057211 A057212 A057213

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Aug 28 2003

STATUS

approved